A coach is assessing the correlation between the number of hours spent practicing and the average number of points scored in a game. The table shows the data: Number of hours spent practicing (x)00.511.522.533.54 Score in the game (y)5811141720232629 Part A: Is there any correlation between the number of hours spent practicing and the score in the game? Justify your answer. (4 points) Part B: Write a function that best fits the data. (3 points) Part C: What does the slope and y-intercept of the plot indicate? (3 points)

The creadit goes to warylucknow

(A) There is a perfect correlation between the two variables.

(B) The line of best fit is, y = 6 x + 5.

(C) The slope of a regression line represents the average rate of change.

Step-by-step explanation:

(A)

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

Compute the correlation coefficient between the number of hours spent practicing and the score in the game using the Excel function "CORREL(array1, array2)".

The correlation coefficient between the number of hours spent practicing and the score in the game is 1.00.

This implies that there is a perfect correlation between the two variables.

(B)

Compute the line of best fit as follows:

Consider the points (1.5, 14) and (3.5, 26):

(image is there)

Thus, the line of best fit is, y = 6 x + 5.

(C)

The slope of a regression line represents the average rate of change in y caused by x.

The y-intercept is the value of y for x = 0, i.e. it is the point where the line crosses the x-axis.

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

$3,200 x 7.25% = $3,200 x .0725 = $232 interest monthly

$232 monthly x 12 annual = $2, 784

step-by-step explanation: